Teacher: In this task, you are given a passage and a question regarding that passage. You must determine whether or not the question is answerable from the given passage. If a question is answerable, output should be 'True', otherwise 'False'. You must not consider any other information that is not provided in the passage while labelling True or False.
Teacher: Now, understand the problem? If you are still confused, see the following example:
Passage: Madonna released the Material Girl clothing line, which she designed with her daughter, Lourdes. The 1980s inspired clothing line, borrowed from Madonna's punk-girl style when she rose to fame in the 1980s, was released under the Macy's label. Madonna also opened a series of fitness centers around the world named Hard Candy Fitness. In November 2011, Madonna and MG Icon announced the release of a second fashion brand called Truth or Dare by Madonna to include footwear, underclothing, and accessories. She also directed her second feature film, W.E., a biographic about the affair between King Edward VIII and Wallis Simpson; it was co-written with Alek Keshishian. Critical and commercial response to the film was negative. Madonna contributed the ballad "Masterpiece" for the film's soundtrack, which won her a Golden Globe Award for Best Original Song. Question: Material Girl clothing line is released under which brand?
Solution: True
Reason: The answer to given question is 'Macy's', which can be determined from the second sentence of the paragraph "The 1980s inspired clothing line, borrowed from Madonna's punk-girl style when she rose to fame in the 1980s, was released under the Macy's label". Since this question is answerable, the output is True.

Now, solve this instance: Passage: Prime ideals are the points of algebro-geometric objects, via the notion of the spectrum of a ring. Arithmetic geometry also benefits from this notion, and many concepts exist in both geometry and number theory. For example, factorization or ramification of prime ideals when lifted to an extension field, a basic problem of algebraic number theory, bears some resemblance with ramification in geometry. Such ramification questions occur even in number-theoretic questions solely concerned with integers. For example, prime ideals in the ring of integers of quadratic number fields can be used in proving quadratic reciprocity, a statement that concerns the solvability of quadratic equations Question: What exist both in quadratic equations and integers?
Student:
False